I'm a composer planning to build a "room-within-a-room" in a large warehouse space that my theater company rents.
Goals
Since I'm going to be doing a lot of composing, mixing and some small-scale recording, the priority for the room is for it to be quiet enough amidst the activity of the building. I think that's the biggest challenge--the building is a warehouse-style office building, and the "ceilings" of our unit are basically the floorboards of the floor above us. You can hear almost everything going on above.
We are not generating a lot of loud music, most common loudest instrument being piano. If anything we record pretty quiet stuff (cello, acoustic guitar, vocals, voice-over).
Room
The floor is thick concrete above earth, so I don't plan on floating the floor. The room will be a rectangle ~22'x17'x12', situated in the corner of the existing unit, so two of the "outer" walls of the studio will be the brick walls that form the larger unit. The ceiling of the unit has all kinds of pipes, conduit, etc., so the idea is for the studio ceiling to sit on the walls only, but below the pipes above us.
HVAC
The unit has HVAC and the building is very efficient, so for the studio room, we don't plan on needing heat. For AC, we're looking into a standalone floor unit outside the room that can feed air into the room via a short duct.
Drawings
I've attached some pictures which were created for the benefit of myself and the general contractor we're working with, cobbled together from this website mostly. If its not clear from the drawings

Questions
Besides general advice, I'd love to know:
If there's anything else I can do to mitigate noise from above? Should I add more mass below the floor above us? I've done my best to communicate to the contractor the importance of COMPLETELY decoupling this room from the rest of the building, but if there's anything about the drawings I can improve to make it clearer, I'm all ears.
Is a 6" airgap sufficient?
Should I employ sound isolation clips/hat channel in addition to the ceiling airgap and treatment of floor above?
If a standalone AC unit can be found, should I plan on building a silencing box, or is it not neccessary?
If helpful to know, our budget is ~$15K and our landlord has agreed to kick in another $5K.
Thanks in advance for any help/advice!
Ben